An initiative is circulating in Massachusetts for a top-two system. See the text here. If the initiative passed, minor parties would almost never be ballot-qualified. Current law says a qualified party is one that polled 3% for any statewide race, or which has registration of 1% of the state total.
No party, other than the Democratic and Republican Parties, has ever held as much as 1% of the registration in Massachusetts. So if the initiative passed, a party could only be ballot-qualified if it could poll 3% for president. And even if it did poll 3% for president, after the next midterm election, it would lose its status.
The chief proponent for the initiative, Jesse Littlewood, told me that his initiative does not lower the difficult petition requirements for candidates because his group was afraid that if the initiative did improve the petition requirements, that would violate the single-subject rule. He also said that he had not heard about any unhappiness with the California top-two system in connection with the 2026 gubernatorial election.